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ser-zykov [4K]
3 years ago
6

Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the

Mathematics
1 answer:
stira [4]3 years ago
4 0

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69

Here,

First term: a = -15

Common difference is

d = -33-(-15)

d = -33+15

d = -18

Now, nth term  of an arithmetic sequence is

a_n=a+(n-1)d

Substitute a=-15 and d=-18.

a_n=-15+(n-1)(-18)

a_n=-15-18n+18

a_n=-18n+3

Therefore, the nth term of the given arithmetic sequence is a_n=-18n+3.

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.046.0 and
Gala2k [10]

Answer:

The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is 0.10

Step-by-step explanation:

The Uniform Distribution, also known as Rectangular Distribution, is a type of Continuous Probability Distribution. It has a continuous random variable restricted to a finite interval and its probability function has a constant density during this interval.

The formula of probability if given by:

f(x)=

\left \{ {{\frac{1}{b-a}; \ a \leq x \leq b  } \atop {0}; \ x \ otherwise } \right.

In this exercise a= 46.0 and b= 56.0

The probability of selecting a class that runs between 50.2550.25 and 51.2551.25 minutes is:

\int\limits^{51.25}_{50.25} {\frac{1}{56-46} } \, dx = \int\limits^{51.25}_{50.25} {\frac{1}{10} } \, dx = \frac{1}{10} \times (51.25 - 50.25)=\frac{1}{10}=0.1

7 0
3 years ago
each paper clip is 3/4 inches long and cost $0.02. exactly enough paper clips are laid end to end to have a total length of 36 i
Vera_Pavlovna [14]
Answer is in the attachment below.

5 0
3 years ago
How do I know if a sequence is arithmetic ,geometric ,or neither
Mekhanik [1.2K]

Answer:


Step-by-step explanation:

Let's assume that you have a sequence written out in always increasing or always decreasing order.  

If each new term is equal to the previous term, plus a certain constant, then the sequence is arithmetic.  Example:  2, 7, 12, 17, 22, ... (the additive constant is 5).

If each new term is equal to the previous term, multiplied by a certain constant, then the sequence is geometric.  Example:  2, 8, 32, 128, ...  (the multiplicative constant is 4).

If the spacing between terms is not a constant, then the sequence is neither arith. nor geom.

If all new adjacent terms are not found by multiplying the previous term by the same constant, the sequence is not geometric (and not arithmetic).

8 0
3 years ago
What expression represents “2.7 less than 4”?
VLD [36.1K]

Answer:

4 - 2.7

Step-by-step explanation:

Since the answer we want is 2.7 less than 4, you subtract 2.7 from 4 to get it.

If it was 2.7 is less than 4, you could make an inequality: 2.7<4

The less than sign works both ways, saying that 2.7 is less than 4 and that 4 is greater than 2.7.

I hope this helps :)

8 0
1 year ago
What are the x-intercepts on the following graph?
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I can not help you because there is no graph! :(
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